Title
Purely PI unrectifiable Laakso spaces
Abstract
Cheeger’s seminal 1999 paper initiated the study of metric measure spaces that admit a generalised differentiable structure. In such spaces, Lipschitz functions—real-valued and, in some cases, Banach-valued—are differentiable almost everywhere. Since then, much work has gone into determining the precise geometric and analytic conditions under which such structures exist.
In this talk, I will give a brief overview of the theory and present new results from joint work with David Bate.
